Answer:
x=9
Step-by-step explanation:
Substitution and solving
[tex]2x+3y=36\\2x+3(6)=36\\2x+18=36\\2x+18-18=36-18\\36/2=2x/2\\x=9[/tex]
To find 1/8 ÷ 3/5 we use the reciprocal of?
Answer:
The reciprocal we use: [tex]\frac{5}{3}[/tex] ; Answer: [tex]\frac{5}{24}[/tex]
Step-by-step explanation:
The reason why we use this reciprocal is because we are dividing 3/5 from 1/8, so we have to use the reciprocal of the divisor instead. Next, we multiply the numerators and denominators and we get the product of 5/24 and since we cannot simplify further, this is the final answer.
Hope this helps! :D
Answer:
5/3
Step-by-step explanation:
A way I remembered how to divide fractions was stay (first fraction) change (division to multiplication) flip (the second fraction)
The governor of state A earns $50,145 more than the governor of state B. If the total of their salaries is $295,595, find
the salaries of each.
Answers:
Governor of State A = $172,870
Governor of State B = $122,725
========================================
Work Shown:
A = B+50,145
A+B = 295,595
(B+50,145)+B = 295,595
2B+50,145 = 295,595
2B = 295,595-50,145
2B = 245,450
B = (245,450)/2
B = 122,725 ... salary for governor of state B
A = B+50,145
A = 122,725 + 50,145
A = 172,870 ..... salary for governor of state A
-------------
Check:
A+B = 172,870 + 122,725 = 295,595
So the answers are confirmed.
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there
A) 20
B) 30
C) 18
D) 16
Answer:
C) 18
Step-by-step explanation:
so, if 8 over 6 is the same ratio as 4 over 3, and 24 divided by 6 is 4, you need to figure out 3*6, which is 18
the ratio of 24 to 18 is the same as 8 to 6
Answer:
C) 18
hope it helps
thank tou
A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,
Answer:
A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
Step-by-step explanation:
We are given;
chance of rain next week on Monday is 50%. Thus;
P(rain next Monday) = 0.5
chance it rains on Tuesday is 80%. Thus;
P(rain next Tuesday) = 0.8
From independent events, we can say that;
P(A and B) = P(A) × P(B)
A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.
Thus;
P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4
This can also be written as 40%
Correct answer is option A since both events are independent
What are the two equations to set up to solve the equation |2x−3|=11
−2x−3=11 and 2x−3=−11−2x−3=11 and 2x−3=−11
2x+3=11 and 2x−3=−112x+3=11 and 2x−3=−11
2x−3=11 and 2x−3=−112x−3=11 and 2x−3=−11
2x+3=11 and 2x+3=−112x+3=11 and 2x+3=−11
There are 640 students who attend Washington College Prep. 75% of the students play a sport. How many students at Washington College Prep play a sport? Draw a percent bar to show your answer.
Please answer this
Answer:
D
Step-by-step explanation:
Please find the value of gf(2)
Step-by-step explanation:
here is ur answer with perfect solution
Pleasee help ASAP I’m begging u plssss
Answer:
4 or -2 not really sure which
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −2 .
Step-by-step explanation:
You Welcome!
Happy Holidays❄️☃️
Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years
Answer:
666
Step-by-step explanation:
ggjgjg
Answer:
1500
Step-by-step explanation:
If you have 375$ in 6 months then that means you should have 750$ in 1 year. That also means you would have 1500$ in 2 years. Hope this helps.
In 2006, a company had sales of $10 million. In 2011, sales were $12.5 million. Write a linear model that represents the company's sales as a function of the number of years since 2006. Use the model to predict the sales in 2021. Write the linear model in the Show Your Work window.
answer for brainleist ig
I will mark u the brainiest if you guys can help me plsss It is urgent
Lina and Morgan saved $2202 altogether. 1/4 of Lina's savings was $105 more than 1/5 of morgan's savings. How much was Lina's savings?
Answer:
486,732 I hope this helps
At a community barbecue, Mrs. Walton and Mr. Buckley are buying dinner for their families.
Mrs. Walton purchases 5 hot dog meal and 2 hamburger meals, paying a total of $15.50.
Mr. Buckley buys 1 hot dog meal and 4 hamburger meals, spending $17.50 in all.
How much does a hot dog meal cost?
Answer:
Step-by-step explanation:
5ht dogs=1.50 each
2hamburger=4.00 each
equals15.50
1 ht dog=1.50
4hamburger=16.00
total equals 17.50
hot dog dinner =1.50
Divide −9 by 27. Determine the correct sign of the quotient.
Step-by-step explanation:
[tex] - 9 \div 27 \\ = \frac{ - 9}{27} \\ = \frac{ - 1}{3} [/tex]
the correct sign for the quotient as indicated is negative.
Graph the solution set for the inequalíty
y> 2x-5 by following these steps:
Step 1: ldentify the slope and y-intercept.
slope = y-intercept =
Please help me
Answer:
Slope= 2
Y-intercept= -5
Step-by-step explanation:
This inequality is in slope-intercept form which means we can get both striaght from the inequaltiy. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this inequality m would be 2 and b would be -5, so those are your answers.
* All of the following can be a product of a nega- tive integer and a positive integer EXCEPT (A) -6 (B)1 (C)-1 (D)-2
Answer:
B
Step-by-step explanation:
The product of a negative integer and positive integer is always negative. A, C and D are negative; Only B is positive so it is NOT a negative integer. The word EXCEPT means it is asking for non-negative answers or answers that are positive
Answer:
B
Step-by-step explanation:
Given g(x)=−x2+10x−3, find the following.
g(9)=
Question 14 options:
-174
-111
6
138
Answer:
g(9) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
g(x) = -x² + 10x - 3
g(9) is x = 9
Step 2: Evaluate
Substitute in x: g(9) = -(9)² + 10(9) - 3Exponents: g(9) = -(81) + 10(9) - 3Multiply: g(9) = -81 + 90 - 3Add: g(9) = 9 - 3Subtract: g(9) = 6Suppose there are two types of tickets to a show: advance and same-day. Advance tickets cost $40 and same-day tickets cost $30. For one performance, there were 65 tickets in all, and the total amount paid for them was $2200. How many tickets of each type were sold?
Advance tickets: represented by x
Same-day tickets: represented by y
you can model this using a system of equations
x + y = 65
40x + 30y = 2200
then you have to get either the x or y value equivalent in both equations
40(x + y = 65)
40x + 40y = 2600
so the new equations are 40x + 40y = 2600 and 40x + 30y = 2200
then you can solve by using elimination
40x + 40y = 2600
-(40x + 30y = 2200)
10y = 400
y = 40
substitute y back into the first equation
x + 40 = 65
x = 25
Helpppp pleaseeeeeee
Answer:
A.
positive and negative 5 and square root of 29
Write 5^3 x √5 as a single power of 5
The expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
To write the given expression 5^3 x √5, as a single power of 5,
First, we will write the expression properly.
[tex]5^{3} \times \sqrt{5}[/tex]
Now, to write the above expression as a single power of 5,
First, express [tex]\sqrt{5}[/tex] in index form
By law of indices [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]
∴ [tex]\sqrt{5} = 5^{\frac{1}{2} }[/tex]
Now, the expression becomes
[tex]5^{3} \times 5^{\frac{1}{2} }[/tex]
Also, by law of indices, [tex]x^{y} \times x^{z} = x^{y+z}[/tex]
∴ [tex]5^{3} \times 5^{\frac{1}{2} } = 5^{3+\frac{1}{2} }[/tex]
[tex]= 5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
Hence, the expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
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The weekly demand for an item in a retail store follows a uniform distribution over the range of 50 to 100. What would be the weekly demand if its corresponding computer-generated value is 0.4?a. 60b. 70c. 75d. 80
Answer: 70
Step-by-step explanation:
Given that :
Uniform range of distribution = 50 to 100
50 ≤ x ≤ 100
Difference between both values = 100 - 50 = 50
Range / difference = computer generated value
(Weekly demand - lower limit) / difference = computer generated value
(Weekly demand - 50) / 50 = 0.4
Weekly demand - 50 = 20
Weekly demand = 20 + 50
Weekly demand = 70
The weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70
What is the property of a uniformly distributed random variable?A uniformly distributed random variable's probability is distributed uniformly in the interval in which it is defined. Thus, if X ranges from a to b, and pertains uniform distribution, then its probability density function is given by;
[tex]f(x) = \dfrac{1}{b-a}; a < x < b\\\\f(x) = 0; x < a , b < x[/tex]
For the given case, the weekly demand(let it be tracked by random variable X) is in range 50 to 100.
The computer generated value shows:
[tex]\text{Computer generated value} = \dfrac{\text{Weekly demand} - \text{Lower limit}}{\text{difference between upper and lower limit}}[/tex]
(computer generated value is showing in range 0 to 1, the part occupied by the weekly value from starting, here as it is 0.4, so it means out of 50 values, it is 0.4 = 40% of (100 -50) = 20 (from start which is 50, thus, 50 + 20 = 70) )
As we've got:
Thus, the weekly demand is obtained as:
[tex]0.4 = \dfrac{\text{Weekly demand} - 50}{50}\\\\\text{Weekly demand} = 0.4 \times 50 + 50 = 70[/tex]
Thus, the weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70
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There are 650 students in the graduating class at East Community College. Of these students, 48 percent plan to attend graduation and 44 percent don't plan to attend. The rest have not decided. How many students are not sure they will attend?
Quick teacher mean
Answer:
YOU CAN DO THIS ONE OF 1 OF 2 WAYS....
650 X .48= 312
650 X .44=286
312+286=598
650-598=52
OR FIGURE IT THIS WAY
.48+.44=.92
650 x .92= 598
650-598=52
Complete the following sentence.
The main span of Bridge A (2700 feet) is
percent shorter than the main span of Bridge B (4300 feet).
Round to one decimal place
The main span of Bridge A (2700 feet) is 37. 2 % percent shorter than the main span of Bridge B (4300 feet).
The percentage distinction of any 2 numbers is that the worth of the magnitude relation of their distinction and their average increased by a hundred. The word % means that the a part of the amount a hundred. it's a fraction or a magnitude relation wherever the total worth is usually a hundred.
It is providing main span of Bridge A is at a 2700 feet and therefore the main span of Bridge B is at a 4300 feet.
Step 1: realize the distinction between the 2 numbers.
4300 - 2700 = 1600
Step 3: Take the magnitude relation of the distinction given by
1600 / 4300
Step 4: Multiply the fraction obtained by a hundred and modify your answer. 1600 / 4300 ×100
Percentage difference in span length :
= [(difference in span) / span of B] × 100%
= ( 1600 / 4300) ×100
= 37. 2 %
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4. Mrs. Dion decided to go out to dinner. She
spent $15.40 on her meal. She tipped the waiter
$4.25. How much did she pay all together?
Answer:
$19.65
Step-by-step explanation:
Adding decimals is the same as simple addition just line up the point in the numbers and add.
Can you please help with this
Answer:
4 m + 7
Step-by-step explanation:
Simplify the following:
4 (m - 2) + 15
4 (m - 2) = 4 m - 8:
(-8 + 4 m) + 15
Grouping like terms, -8 + 4 m + 15 = 4 m + (15 - 8):
4 m + (15 - 8)
-8 + 15 = 7:
Answer: 4 m + 7
Answer: Let's simplify step-by-step.
4(m−2)+15
Distribute:
=(4)(m)+(4)(−2)+15
=4m+−8+15
Combine Like Terms:
=4m+−8+15
=(4m)+(−8+15)
=4m+7
Answer:
=4m+7
Step-by-step explanation: I hope this helps.
which expression is equivalent to 18x12
Answer:
12x18
Step-by-step explanation:
Answer:
Hello, you do not give us any answers to choose from, but i can say that 18x12 is 216
Step-by-step explanation:
Write the slope-intercept form of an equation that passed through the given point and is: (a) parallel, (b) perpendicular, to the graph of the equation below (-4, -5); -4x+5y=-6
Answer:
-4x+5y=-4 and 5x+4y=-40.
Step-by-step explanation:
all the details are provided in the attachment.
There are an equal number of pennies, nickels, dimes, and quarters in a bag. What is the probability that the combined value of the four coins randomly selected with replacement will be $.41? express your answer as a fraction in the simplest form.
The probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32
In this question, there are an equal number of pennies, nickels, dimes, and quarters in a bag.
We need to find the probability that the combined value of the four coins randomly selected with replacement will be $.41
Out of 41 cents, 1 must be a penny.
And the remaining three (a nickel, dime, and a quarter) must add up to 40 cents.
The first coin must be penny so, its probability P1 = 1
The probability for the second coin would be,
P2 = 3/4
The probability for the third coin would be,
P3 = 2/4
P3 = 1/2
And the probability for the fourth coin would be,
P4 = 1/4
Since the events are independent, the resultant probability would be,
P = P1 × P2 × P3 × P4
P = 1 × 3/4 × 1/2 × 1/4
P = 3/16 × 1/2
P = 3/32
Therefore, the probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32
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Which figures have rotation symmetry
A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation. The right answer is D.
Rotational Symmetry: What Is It?A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation.
The number of alternative orientations in which an object can seem exactly the same for each revolution is the degree of rotational symmetry of that object.
Because of rotational symmetry, the figure should maintain its original appearance even when rotated. So a rhombus is the shape that exhibits rotational symmetry. So, D is the right answer.
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work out the value of 10 fourths
Answer:
10/4 equals 2 1/2 when simplified.
Step-by-step explanation:
10/4 = 2 2/4 or 2 1/2 when simplified.
This is because, 4 x 2 = 8, and 8 + 2 (or 1/2 of 4) = 10.
Hope this helps! :D
How many cubes will be needed to construct the 5th "building" in the same pattern?
A. 11
B. 12
C. 13
D. 14
E. 15
Answer:12
Step-by-step explanation:They are adding three box for every building so is the fifth block you do it